Question

Which of the following is true about the bisectors of a segment in a plane?

A. very segment has exactly one bisector. every segment has exactly one bisector.
B. every segment has exactly two bisectors. every segment has exactly two bisectors.
C. every segment has 10 bisectors. every segment has 10 bisectors.
D. every segment has infinitely many bisectors.

Answer 1

Every segment in a plane has one unique perpendicular bisector and infinitely many other bisectors at various angles that divide the segment into two equal lengths.

Step-by-step explanation:

The question is about the characteristics of the bisectors of a segment in a plane in geometry. A bisector is a line, ray, or segment which divides another segment into two equal parts at a 90-degree angle. Each segment in a plane has exactly one unique perpendicular bisector that will cut it into two congruent segments. Additionally, there is an infinite number of bisectors that can split a segment into two parts that are not necessarily perpendicular but still equal in length, including at various angles.

Based on this understanding, the correct answer to the question would be that every segment has infinitely many bisectors, as there are many lines that can divide the segment into two equal lengths at different angles, but only one of these is the perpendicular bisector.